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Finding the Fourth Proportional to 684.95, 946.17 and 464.85

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Solution

The fourth proportional to 684.95, 946.17 and 464.85 is: 642.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.95 : 946.17 = 464.85 : x
  2. Step 2: Convert to fraction form
    684.95/946.17 = 464.85/x
  3. Step 3: Cross multiply
    684.95x = 946.17 × 464.85
  4. Step 4: Simplify right side
    684.95x = 439,827.12
  5. Step 5: Solve for x
    x = 439,827.12/684.95
  6. Step 6: Final answer
    x = 642.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.